find the area of this polygon - PLZZZZZ HELP I WILL GIVE 30 points T^T

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that [tex]p = 0.08[/tex]

Sample of 11 college graduates:

This means that [tex]n = 11[/tex]

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662[/tex]

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Answer:

b. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is close to Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Applying to this question:

The distribution of the number of calories in fruit smoothies is strongly skewed to the right. However, in a sample with a large number of fruit smoothies, the sampling distribution will be approximately normal, so the correct answer is given by option B.

Answer:

B

Step-by-step explanation:

theres no diagram given

Answer:

y = 5      

Step-by-step explanation:

Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.

We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.

Answer:

Step-by-step explanation:

[tex]\text{Maximize p = 5X1 + 4X2 + 3X3 subject to;} \\ \\ 1X1 + 7X2 + 4X3 <= 90[/tex]

[tex]2X1 + 1X2 + 7X3 <= 96[/tex]

[tex]8X1 + 4X2 + 1X3 <= 90[/tex]

[tex]X1 > = 0[/tex]

[tex]X2 >= 0[/tex]

[tex]X3 >=0[/tex]

[tex]\text{USing LP software, The Optimal Solution: Maximum Contribution} = 90.547;}\\ \\ x1 = 7.07692, \\ \\ x2 = 5.62393, \\ \\ x3 = 10.8889[/tex]

Answer:

the total surface area of the prism is 245.67

Step-by-step explanation:

Given;

height of the triangular prism, h = 8

length of the triangular bases, = 7, 8, and 9

The total surface area of the prism is calculated as;

T.S.A = ph + 2B

Where;

p is the perimeter of the base

B is area of the base

P = 7 + 8 + 9 = 24

Area of the base can be calculated using Hero's formula;

[tex]S = \frac{7+8+9}{2} = 12\\\\Base \ area (B) = \sqrt{12(12-7)(12-8)(12-9)} = 26.833[/tex]

T.S.A = (24 x 8)   +  2 x 26.833

T.S.A = 192 +  53.666

T.S.A = 245.67

Therefore, the total surface area of the prism is 245.67

Answer:

C)  constant

Step-by-step explanation:

it would be a constant ! you can remember this by thinking of the meaning of the word constant; consistent. it does not change, constantly. i hope that helped some :)

The formula for the area parallelogram is the same as rectangle.

[tex]\frac{14*10}{2}[/tex][tex]=70[/tex]

Answer:

0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars

This means that [tex]\mu = 45, \sigma = 7[/tex]

What is the probability that a randomly selected firm will earn more than Arc did last year?

Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{59 - 45}{7}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year

Answer:

C. and D. are correct

Step-by-step explanation:

I solved all of them

A would be 0.5 not 2

B would be 2.5 not 2

E would be 0.5 not 2

hope this helps <3

Answer: 47/363

(Decimal: 0.129477)

Answer:

Step-by-step explanation:

3.

area of one triangular face = ½×16×30 = 240 in²

area of base = 30×9 = 270 in²

area of diagonal face = 34×9 = 306 in²

area of vertical face = 16×9 = 144 in²

surface area = 2×240 + 270 + 306 + 144 = 1,200 in²

volume = 240×9 = 2,160 in³

:::::

4.

area of one triangular face = ½×10×10.5 = 52.5 ft²

area of base = 10.5×6 = 270 ft²

area of diagonal face = 14.5×6 = 87 ft²

area of vertical face = 10×6 = 60 ft²

surface area = 522 ft²

volume = 52.5×6 = 315 ft³

250 ÷5 = 50

$50

Hope this helps!

Answer:

D

Step-by-step explanation:

Have a nice day!

Answer:

0.40 I'm pretty sure tbh

Answer:

m = 1

Step-by-step explanation:

(2,1) and (8,7)

m = (y2-y1)/(x2-x1)

m=(7-1)/(8-2)

m=6/6

m = 1

Answer:

C

Step-by-step explanation:

We want to integrate:

[tex]\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx[/tex]

Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:

[tex]u=4x^5+15x+2[/tex]

By differentiating both sides with respect to x:

[tex]\displaystyle \frac{du}{dx}=20x^4+15[/tex]

We can "multiply" both sides by dx:

[tex]du=20x^4+15\,dx[/tex]

And divide both sides by 5:

[tex]\displaystyle \frac{1}{5}\, du=4x^4+3\,dx[/tex]

Rewriting our original integral yields:

[tex]\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)[/tex]

Substitute:

[tex]\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)[/tex]

Simplify:

[tex]\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du[/tex]

This is a common integral:

[tex]\displaystyle =\frac{1}{5}\ln|u|[/tex]

Back-substitute. Of course, we need the constant of integration:

[tex]\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C[/tex]

Our answer is C.

Answer:

C=6.85+2.99m, where:

C is the total cost to watch the movies

m is the number of movies you watch

Step-by-step explanation:

From the information provided, you can say that the total cost to watch the movies would be equal to the one-time fee plus the result of multiplying the price per movie for the number of movies you watch, which can be expressed as:

C=6.85+2.99m, where:

C is the total cost to watch the movies

m is the number of movies you watch

Answer:

Step-by-step explanation:

The area between the concentric circles:

If we tale π ≈ 3, we know R = 5 cm, we see r = R - 2 =  5 - 2 = 3 cm, then

Correct choice is B

Answer:

11.2127659574

Step-by-step explanation:

Answer:

$11.21 per hour.

Step-by-step explanation:

Divide the pay by the hours worked and round to the nearest tenth.

527/ 47 = 11.21276596 then round to 11.21

Step-by-step explanation:

I think it'S right......

Answer:(-3,-8),(-6,4),(1,-1)

Step-by-step explanation:

Given

Vertices of the triangle are

[tex]P(-3,8), Q(-6,-4),R(1,1)[/tex]

Coordinates (a,b) when reflected about x-axis is given as (a,-b) i.e. Y coordinate changes its sign

[tex]\therefore P\rightarrow P'(-3,-8)\\\Rightarrow Q\rightarrow Q'(-6,4)\\\Rightarrow R\rightarrow R'(1,-1)[/tex]

Answer:

A= -2

Step-by-step explanation:

Hope I helped!! Negitive 2

1) A graph is linear when the line on a graph is a straight line with no curves.

2) A proportional graph means that as x increases, y increases and when x decreases, y decreases and their ratio always stays the same.

3) (I don't know what type of equation you mean but this is my guess)

Division is the last step of an equation.

Answer:

It is correct

Step-by-step explanation:

Gr8 job